verify the following
i.[ -3/4]3 = -27/64
ii. [-2/3]6 = 64/ 729

Answer:

x = 17

Step-by-step explanation:

75 = 4x + 7

68 = 4x

x = 17

Answer:

17

Step-by-step explanation:

Set equal to each other

Subtract 7 from 75

Divided the answer (68) by 4

Receive the answer 17

Hope this helps, have a good day.

Answer:

D is false

A is true

B is true

C is true

Step-by-step explanation:

Answer:

I this a multiple choice answer? I found that A B and C are true.

I know this because the article Newtons laws of Universal Gravitation states that "Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces. So as two objects are separated from each other, the force of gravitational attraction between them also decreases." This makes C the best answer

Answer:

no

Step-by-step explanation:

To determine if x = 7 is a solution.

Substitute x = 7 into the equation and if left side equals right side then it is a solution

3(7) - 4 = 21 - 4 = 17 ≠ 15

Then x = 7 is not a solution to the equation

No, x = 7 is not the solution of Equation 3x - 4 = 15

An Equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that an Equation 3x - 4 = 15

Solving x = 7 we get,

3*7 - 4 = 21 - 4 = 17

17 ≠ 15

Hence, x = 7 is not a solution of the given Equation.

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Answer:

x = 5

Step-by-step explanation:

Given

7 + 3(2x - 5) = 3x + 7 ← distribute parenthesis and simplify left side

7 + 6x - 15 = 3x + 7

6x - 8 = 3x + 7 ( subtract 3x from both sides )

3x - 8 = 7 ( add 8 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

Answer:

25π

Step-by-step explanation:

well the area is 78.53981633974 but in terms of pi, it's 25π

Given:

The expression is:

[tex]\sqrt{1.69}-\sqrt[3]{0.001}[/tex]

To find:

The value of the given expression.

Solution:

We have,

[tex]\sqrt{1.69}-\sqrt[3]{0.001}[/tex]

On simplification, we get

[tex]\sqrt{1.69}-\sqrt[3]{0.001}=1.3-0.1[/tex]

[tex]\sqrt{1.69}-\sqrt[3]{0.001}=1.2[/tex]

Therefore, the value of the given expression [tex]\sqrt{1.69}-\sqrt[3]{0.001}[/tex] is 1.2.

Answer:

a.) 0.51

b.) 1445

Step-by-step explanation:

a.) 5.1 x 10^-1 can be written as 5.1 x 0.1 which equals 0.51.

b.) 1.7 x 10^4 x 8.5 x 10^-2 can be simplified either by condensing 10^4 and 10^-2 to equal 10^2, or substituting the expression into a calculator.

This should equal 1.7 x 8.5 x 10^2 or 1445.

Answer:

1 and 2 is corresponding angles

4 and 3 is alternate interior angles

5 and 6 corresponding angles

9514 1404 393

Answer:

  y = 30°

Step-by-step explanation:

Angles x and y are "vertical" angles, so are congruent.

  x = y = 30°

Answer:

125

Step-by-step explanation:

note that

625 = [tex]5^{4}[/tex]

Using the rule of exponents

[tex](a^{m}) ^{n}[/tex] ⇔ [tex]a^{mn}[/tex]

Then

[tex](5^{4}) ^{\frac{3}{4} }[/tex]

= 5³

= 125

Answer:

a = 2, b = 1, c = - 15

Step-by-step explanation:

The standard form of a quadratic expression is ax² + bx + c ( a ≠ 0 )

2x² + x - 15 ← is in standard form

with a = 2, b = 1, c = - 15

Options aren't avaible

Answer:

(1 ÷ 1/6) * 6

36 pieces of pizza

Step-by-step explanation:

Given that :

Number of pizzas ordered = 6

Divisions per pizza = 1/6 ;

Hence, 1 full pizza is divided into 1 ÷ 1/6 = 1 * 6/1 = 6 pieces

6 * 1/6(1)

The total pieces of pizzas equals :

6 pieces per pizza * number of pizzas

6 * 6

= 36 pieces of pizza

Answer:

the answer is c :)

Step-by-step explanation:

Answer:

[tex] x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5} [/tex]   or   [tex] x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5} [/tex]

Step-by-step explanation:

[tex] 5x^2 - 2 = 4x [/tex]

[tex] 5x^2 - 4x - 2 = 0 [/tex]

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-(-4) \pm \sqrt{(-4)^2 - 4(5)(-2)}}{2(5)} [/tex]

[tex] x = \dfrac{4 \pm \sqrt{16 + 40}}{10} [/tex]

[tex] x = \dfrac{4 \pm 2\sqrt{14}}{10} [/tex]

[tex] x = \dfrac{2 \pm \sqrt{14}}{5} [/tex]

[tex] x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5} [/tex]   or   [tex] x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5} [/tex]

Answer:

Answer:

x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5}x=

5

2

+

5

14

or x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5}x=

5

2

−

5

14

Step-by-step explanation:

5x^2 - 2 = 4x5x

2

−2=4x

5x^2 - 4x - 2 = 05x

2

−4x−2=0

x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}x=

2a

−b±

b

2

−4ac

x = \dfrac{-(-4) \pm \sqrt{(-4)^2 - 4(5)(-2)}}{2(5)}x=

2(5)

−(−4)±

(−4)

2

−4(5)(−2)

x = \dfrac{4 \pm \sqrt{16 + 40}}{10}x=

10

4±

16+40

x = \dfrac{4 \pm 2\sqrt{14}}{10}x=

10

4±2

14

x = \dfrac{2 \pm \sqrt{14}}{5}x=

5

2±

14

x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5}x=

5

2

+

5

14

or x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5}x=

5

2

−

5

14

Answer:

13a) $3.40

13b) 0.85X

13c) $25.88

Step-by-step explanation:

13a) When there is a 15% discount, we can say that we are only paying 85% of the original price because out of 100%, 15% is taken away. 85% in decimals is 85/100 = 0.85.

$4 x 0.85 is the discounted price, which is $3.40

13b) In 13a, the price was 4. Now, the price is X. Hence we plug in (substitute) X in for 4, giving us X x 0.85, which we can write as 0.85X

13c) 85% of the cake is $22. To find 100% of the price, we can find 1% of the original price and then multiply that by 100, which gives us 100% of the price.

We know 85% of the original price. Therefore, dividng the price by 85 will give us 1% of the price. 1% = $22/85

Finally, to calculate 100%, we multiply by 100.

22/88 x 100 = 440/17 which is 25.882 in decimals, which we round to 2 decimal places (because it is currency) = $25.88

Yes. You have to include 0.

If we round off this value to 2 decimal places then it is

0.03

Reason: after decimal point or before decimal point if you have to drop some digits and if the digit to be droped are 5 followed by non zero digit then previous digit is increased by 1.

Here, the digits to be droped are 5 and 4 after 0.02 so we increase 2 by 1 that is 3.

Answer:

10500 dollars

Step-by-step explanation:

350,000 * .03 = 10500

Answer:

A is 3.14

Step-by-step explanation:

. good day.hope it helps

Answer:

Step-by-step explanation:

circumference   =   2 * pi * radius

                                                            Plug in  4 meters  for radius  and  3.14  for  pi  .

circumference   ≈   2 * 3.14 * 4 m

                                                            Multiply these together.

circumference   ≈   25.1 m

area   =   pi * radius2

                                                            Plug in  4 meters  for radius  and  3.14  for  pi  .

area   ≈   3.14 * (4m)2

                                                            Square the  4m  .

area   ≈   3.14 * 16m2

                                                            Multiply.

area   ≈   50.2 m2

Answer:

6.5y-11

Step-by-step explanation:

i think that's the answer. if I'm wrong tell me right away good day

Answer:

rrrrrehwhwjwmkwwuwiwiiwiwiwiw

The area of the parallelogram in the diagram given is: 1,330 in.²

Area of a parallelogram = (base × height)

Given the following dimensions of the parallelogram:

Base = 38 in.

Height = 35 in.

Area of the parallelogram = 38 × 35

Area of the parallelogram = 1,330 in.²

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Answer:

Step-by-step explanation:

That would be 23 - 50, or -27.

Next time, please include the answer choices.  Thank you.

Answer:

x < 6

Step-by-step explanation:

[tex]\frac{x}{3}+4 < 6[/tex]

Subtract 4 form both sides

[tex]\frac{x}{3}<6-4\\\\\frac{x}{3}<2[/tex]

Multiply both sides by 3

[tex]x < 2*3\\\\x < 6[/tex]

Answer:

X = 5.9- meaning 5.9 or anything under that or lets just say 5 because 5/3 = 1.6 + 4 = 5.6

Step-by-step explanation:

Have a nice day

sorry if its wrong

Answer:

i don't know

Step-by-step explanation:

42yd is your answer

Answer:

area of shaded region =area of (square -circle)

=l²-π(d/2)²

=14²π(14/2)²=196-49π=42.061=42yd

Answer:

C.

yes; y = 1.8x

Step-by-step explanation:

Answer for the question :

Yes, Y varies directly with X, and the equation is :

Y = 1.8X

NOTE : For every value of X, when you multiply them with 1.8, you will get the corresponding Y.  

Y = 1.8 x X

5.4 = 1.8 x 3

12.6 = 1.8 x 7

21.6 = 1.8 x 12   (Q.E.D.)

That’s the answer, good luck in solving the question!

:-)

ideal all you ought to do is to divide the y via potential of x and u get the equation working occasion #a million y=32 / x=4 then u have y/x=32/4 ----> y=8x and do the comparable indoors something so #2 y=-20 & x=-20 so y/x=-20/-20 y=x etc

The linear equation is given as y = 1.8x, Then the correct option is C.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

The table is given below.

x         y

3      5.4

7      12.6

12     21.6

Then the linear equation is given as,

[tex]\rm (y - 5.4) = \left [\dfrac{5.4-12.6}{7-3} \right] (x-3)[/tex]

Simplify the equation, then we have

y - 5.4 = 1.8(x - 3)

y - 5.4 = 1.8x - 5.4

y = 1.8x

The linear equation is given as y = 1.8x, Then the correct option is C.

More about the line passing through two points link is given below.

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